Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
Journal of Computational Physics
Variational problems and partial differential equations on implicit surfaces
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Numerical simulation of moving contact line problems using a volume-of-fluid method
Journal of Computational Physics
Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator
FCRC '96/WACG '96 Selected papers from the Workshop on Applied Computational Geormetry, Towards Geometric Engineering
Transport and diffusion of material quantities on propagating interfaces via level set methods
Journal of Computational Physics
MooNMD – a program package based on mapped finite element methods
Computing and Visualization in Science
Second-order accurate volume-of-fluid algorithms for tracking material interfaces
Journal of Computational Physics
A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
Journal of Computational Physics
A level-set method for interfacial flows with surfactant
Journal of Computational Physics
A finite element based level set method for two-phase incompressible flows
Computing and Visualization in Science
Modelling and simulation of moving contact line problems with wetting effects
Computing and Visualization in Science
Journal of Computational Physics
A level-set continuum method for two-phase flows with insoluble surfactant
Journal of Computational Physics
Hi-index | 31.46 |
A finite element scheme to compute the dynamics of insoluble surfactant on a deforming free surface is presented. The free surface is tracked by the arbitrary Lagrangian-Eulerian (ALE) approach, whereas the surfactant concentration transport equation is approximated in a Lagrangian manner. Since boundary resolved moving meshes are used in the ALE approach, the surface tension, which may be a linear or nonlinear function of surfactant concentration (equation of state), and the Marangoni forces can be incorporated directly into the numerical scheme. Further, the Laplace-Beltrami operator technique, which reduces one order of differentiation associated with the curvature, is used to handle the curvature approximation. A number of 3D-axisymmetric computations are performed to validate the proposed numerical scheme. An excellent surfactant mass conservation without any additional mass correction scheme is obtained. The differences in using a linear and a nonlinear equation of state, respectively, on the flow dynamics of a freely oscillating droplet are demonstrated.